338521 has 4 divisors (see below), whose sum is σ = 358452. Its totient is φ = 318592.

The previous prime is 338497. The next prime is 338531. The reversal of 338521 is 125833.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 125833 = 23 ⋅5471.

It can be written as a sum of positive squares in 2 ways, for example, as 112896 + 225625 = 336^2 + 475^2 .

It is a cyclic number.

It is not a de Polignac number, because 338521 - 2¹³ = 330329 is a prime.

It is a super-2 number, since 2×338521² = 229192934882, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 338492 and 338501.

It is not an unprimeable number, because it can be changed into a prime (338531) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9940 + ... + 9973.

It is an arithmetic number, because the mean of its divisors is an integer number (89613).

2³³⁸⁵²¹ is an apocalyptic number.

It is an amenable number.

338521 is a deficient number, since it is larger than the sum of its proper divisors (19931).

338521 is a wasteful number, since it uses less digits than its factorization.

338521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19930.

The product of its digits is 720, while the sum is 22.

The square root of 338521 is about 581.8255752371. The cubic root of 338521 is about 69.6939701541.

The spelling of 338521 in words is "three hundred thirty-eight thousand, five hundred twenty-one".